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Simplifying 7 + 7z = 6z + 16 Reorder the terms: 7 + 7z = 16 + 6z Solving 7 + 7z = 16 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 7 + 7z + -6z = 16 + 6z + -6z Combine like terms: 7z + -6z = 1z 7 + 1z = 16 + 6z + -6z Combine like terms: 6z + -6z = 0 7 + 1z = 16 + 0 7 + 1z = 16 Add '-7' to each side of the equation. 7 + -7 + 1z = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 16 + -7 1z = 16 + -7 Combine like terms: 16 + -7 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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